Elements Of Electromagnetics
Elements Of Electromagnetics
7th Edition
ISBN: 9780190698614
Author: Sadiku, Matthew N. O.
Publisher: Oxford University Press
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Concept explainers

Axial Load
When a bar of the uniform cross-section is acted by a load, such that the load acts along the longitudinal axis of the bar, such kinds of loadings are known as axial loadings. In general terms, a load is an external force acting on a component. An axial …
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6.

### Problem Statement Cable \( BAC \) passes through a frictionless ring \( A \) and is attached to fixed supports at \( B \) and \( C \), while cables \( AD \) and \( AE \) are both tied to the ring and are attached, respectively, to supports at \( D \) and \( E \). A 240-lb vertical load \( P \) is applied to ring \( A \). ### Diagram Explanation The diagram shows a 3D coordinate system with the following details: - Points \( B \), \( C \), \( D \), \( E \), and \( A \) are labeled, with cable attachments shown at each point. - The coordinates are marked as \( x \), \( y \), and \( z \) axes. - The dimensions from point \( O \) are given as: - \( 17.5 \) inches along the \( y \)-axis. - \( 45 \) inches along the \( y \)-axis to point \( E \). - \( 25 \) inches from \( B \) along the \( x \)-axis. - \( 60 \) inches from \( D \) along the \( x \)-axis. - \( 80 \) inches vertically along the \( z \)-axis from \( A \) to point \( P \). - The load \( P \) is shown as a downward force with a magnitude of 240 lb. ### Task Determine the tension in each of the three cables. - The tension in cable \( BAC \) is ______ lb. - The tension in cable \( AD \) is ______ lb. - The tension in cable \( AE \) is ______ lb.
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Transcribed Image Text:### Problem Statement Cable \( BAC \) passes through a frictionless ring \( A \) and is attached to fixed supports at \( B \) and \( C \), while cables \( AD \) and \( AE \) are both tied to the ring and are attached, respectively, to supports at \( D \) and \( E \). A 240-lb vertical load \( P \) is applied to ring \( A \). ### Diagram Explanation The diagram shows a 3D coordinate system with the following details: - Points \( B \), \( C \), \( D \), \( E \), and \( A \) are labeled, with cable attachments shown at each point. - The coordinates are marked as \( x \), \( y \), and \( z \) axes. - The dimensions from point \( O \) are given as: - \( 17.5 \) inches along the \( y \)-axis. - \( 45 \) inches along the \( y \)-axis to point \( E \). - \( 25 \) inches from \( B \) along the \( x \)-axis. - \( 60 \) inches from \( D \) along the \( x \)-axis. - \( 80 \) inches vertically along the \( z \)-axis from \( A \) to point \( P \). - The load \( P \) is shown as a downward force with a magnitude of 240 lb. ### Task Determine the tension in each of the three cables. - The tension in cable \( BAC \) is ______ lb. - The tension in cable \( AD \) is ______ lb. - The tension in cable \( AE \) is ______ lb.
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Step 2: Position vector calculation
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Step 3: Unit vector calculation
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Step 4: Tension calculation
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Step 5: Tension calculation
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